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研究生:黃璿丞
研究生(外文):HUANG,XUAN-CHENG
論文名稱:建構製程能力指標Cpm信賴下界以及多製程績效分析圖之新方法
論文名稱(外文):A New Method for Constructing Cpm Lower Confidence Bound and Cpm MPPAC
指導教授:彭文理彭文理引用關係
指導教授(外文):Pearn, Wen-Lea
口試委員:彭文理巫佳煌林真如戴于婷
口試委員(外文):Pearn, Wen-LeaWu, Jia-HuangLin, Chen-JuDai, Yu-Ting
口試日期:2024-07-11
學位類別:碩士
校院名稱:國立陽明交通大學
系所名稱:工業工程與管理學系
學門:工程學門
學類:工業工程學類
論文種類:學術論文
論文出版年:2024
畢業學年度:112
語文別:中文
論文頁數:119
中文關鍵詞:製程能力指標多製程績效分析圖覆蓋率信賴下界校正因子
外文關鍵詞:Process Capability IndicesMultiprocess Performance Analysis ChartCoverage RateLower Confidence BoundCorrection Factor
相關次數:
  • 被引用被引用:0
  • 點閱點閱:4
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  • 下載下載:0
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摘要i
Abstractii
Contentsiii
List of Figuresv
List of Tablesvii
Chapter 1. Introduction 1
1.1. Research Background 1
1.2. Research Motivation 1
1.3. Research Organization 2
Chapter 2. Literature Review 3
2.1. Process Capability Indices(PCIs) 3
2.2. Process Capability Index Cpm 3
2.3. Multi Process Performance Analysis Chart (MPPAC) 5
2.3.1. Cpk MPPAC5
2.3.2. Spk MPPAC6
2.3.3. Cpmk MPPAC 8
Chapter 3. Existing Method for Constructing Cpm MPPAC9
3.1. Construction of Existing Cpm MPPAC9
3.2. Upper Bound Estimation of (μ-T)/(d/3) 11
3.3. Upper Bound Estimation of σ/(d/3) 13
Chapter 4. New Method for Constructing Cpm MPPAC15
4.1. Construction of New Cpm MPPAC15
4.2. Upper Bound Estimation of ((μ-T)/(d/3))^2 18
4.3. Upper Bound Estimation of (σ/(d/3))^2 20
Chapter 5. Cpm MPPAC with Asymmetric Specification22
5.1. The Capability Index Cpm'' 22
5.2. Construction of Cpm MPPAC with Asymmetric Specification23
5.3. An Alternative Method to Construct Cpm MPPAC with Asymmetric Specification25
Chapter 6. Performance Comparison between Existing and New Methods27
6.1. Coverage Rate Comparison 27
6.2. Lower Bound Comparison41
6.3. Adjustment of the Lower Bound 54
6.4. Mathematical Analytic Method and Performance Comparison 74
Chapter 7. Conclusions 84
Reference 85
Appendix 88
1.Boyles, R. A. (1991). The Taguchi capability index. Journal of quality technology, 23(1), 17-26.
2.Boyles, R. A. (1994). Process capability with asymmetric tolerances. Communi-cations in Statistics-Simulation and Computation, 23(3), 615-635.
3.Chan, L. K., Cheng, S. W., & Spiring, F. A. (1988). A new measure of process capability: Cpm. Journal of Quality Technology, 20(3), 162-175.
4.Chen, K. S. (1998). Estimation of the process incapability index. Communications in Statistics-Theory and methods, 27(5), 1263-1274.
5.Chen, K. S., & Pearn, W. L. (1997). An application of non-normal process capability indices. Quality and Reliability Engineering International, 13(6), 355-360.
6.Chen, K. S., Pearn, W. L., & Lin, P. C. (1999). A new generalization of Cpm for processes with asymmetric tolerances. International Journal of Reliability, Quality and Safety Engineering, 6(04), 383-398.
7.Chen, K. S., Pearn, W. L., & Lin, P. C. (2003). Capability measures for processes with multiple characteristics. Quality and Reliability Engineering International, 19(2), 101-110.
8.Deleryd, M., & Vännman, K. (1999). Process capability plots—a quality improvement tool. Quality and Reliability Engineering International, 15(3), 213-227.
9.Greenwich, M., & Jahr‐Schaffrath, B. L. (1995). A process incapability index. International Journal of Quality & Reliability Management, 12(4), 58-71.
10.Kane, Victor E. "Process capability indices." Journal of quality technology 18.1 (1986): 41-52.
11.Kotz, S., & Johnson, N. L. (2017). Process capability indices. Chapman and Hall/CRC.
12.Lin, P. C., & Pearn, W. L. (2005). Testing manufacturing performance based on capability index Cpm. The International Journal of Advanced Manufacturing Technology, 27, 351-358.
13.Luo, Y. J(2022)Sputtering Process Capability Analysis of ITO Film Thickness for Smartphone OLED Panels. Https://hdl.handle.net/11296/9867u8.
14.Mitra, A. (2016). Fundamentals of quality control and improvement. John Wiley & Sons.
15.Otsuka, A., & Nagata, F. (2017). Design method of Cpm index based on product performance and manufacturing cost. Computers & Industrial Engineering, 113, 921-927.
16.Pearn, W. L., Chang, Y. C., & Wu, C. W. (2004). Quality-yield measure for production processes with very low fraction defective. International journal of production research, 42(23), 4909-4925.
17.Pearn, W. L. (1998). New generalization of process capability index Cpk. Journal of Applied Statistics, 25(6), 801-810.
18.Pearn, W. L., & Kotz, S. (2006). Encyclopedia and handbook of process capability indices: A comprehensive exposition of quality control measures (Vol. 12). World Scientific.
19.Pearn, W. L., & Shu, M. H. (2003). Lower confidence bounds with sample size information for Cpm applied to production yield assurance. International Journal of Production Research, 41(15), 3581-3599.
20.Pearn, W. L., & Shu, M. H. (2003). Manufacturing capability control for multiple power-distribution switch processes based on modified Cpk MPPAC. Microelectronics Reliability, 43(6), 963-975.
21.Pearn, W. L., Chang, Y. C., & Wu, C. W. (2006). Multiple-process performance analysis chart based on process loss indices. International journal of systems science, 37(7), 429-435.
22.Pearn, W. L., Shu, M. H., & Hsu, B. M. (2004).Cpm MPPAC for manufacturing quality control applied to the precision voltage reference process. The International Journal of Advanced Manufacturing Technology, 24, 140-147.
23.Pearn, W. L., Wu, C. C., & Wu, C. H. (2015). Estimating process capability index Cpk: classical approach versus Bayesian approach. Journal of Statistical Computation and Simulation, 85(10), 2007-2021.
24.Perakis, M., & Xekalaki, E. (2004). A new method for constructing confidence intervals for the index Cpm. Quality and Reliability Engineering International, 20(7), 651-665.
25.Selmi, S., Ben Amara, S., Ben Fredj, N., Kobi, A., & Ben Salah, I. (2018). Process capability indices and X-bar, X , R control chart limit adjustments by taking into account measurement system errors. The International Journal of Advanced Manufacturing Technology, 95, 1919-1930.
26.Singhal, S. C. (1991). Multiprocess performance analysis chart (MPPAC) with capability zones. Quality Engineering, 4(1), 75-81.
27.Srivastava, A., Chaturvedi, A., & Kumar, N. (2023). Finite sample performance of an estimator of process capability index for the autocorrelated data. Communications in Statistics-Simulation and Computation, 52(9), 4348-4360.
28.Tomohiro, R., Arizono, I., & Takemoto, Y. (2020). Economic design of double sampling control chart for monitoring process capability. International Journal of Production Economics, 221, 107468.
29.Wang, D. S., Koo, T. Y., & Chou, C. Y. (2008). Multiple streams process capability analysis chart. Journal of Information and Optimization Sciences, 29(5), 835-847.
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